Diagonal lift in the semi-cotangent bundle and its applications

YILDIRIM F.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.3, ss.1312-1327, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1706-39
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1312-1327
  • Anahtar Kelimeler: Vector field, complete lift, diagonal lift, pull-back bundle, cross-section, semi-cotangent bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

The present paper is devoted to some results concerning the diagonal lift of tensor fields of type (1,1) from manifold M to its semi-cotangent bundle t*M. In this context, cross-sections in the semi-cotangent (pull-back) bundle t*M of cotangent bundle T*M by using projection (submersion) of the tangent bundle TM can be also defined.